Z_3 cosmic-string tension Gμ

Prediction	2.7 × 10⁻⁶
Measured	Planck bound 1.1 × 10⁻⁷
Residual	~25× over bound
Status	open
Source paper	DCT-CMB-01

Mechanism

Z_3 coset of the 600-cell vertex set produces topological cosmic strings. String tension Gμ scales as the symmetry-breaking energy squared. Current closed-form prediction overshoots Planck bound; pending Z_3 breaking-scale derivation.

Derivation

The closed-form prediction is

$$ \text{predicted} = 2.7 × 10⁻⁶ $$

against the measurement Planck bound 1.1 × 10⁻⁷, giving residual ~25× over bound.

Python verification

The verification script for this observable is cmb_analysis.py. Run it with python3 cmb_analysis.py to reproduce the canonical DCT result against the public-archive measurement source listed above (Planck Collaboration 2018.).

Methodology

Domain	Polytope / structural identity (STRUCT)
Input data source	See "References" below for the canonical public-archive citation. The verification script consumes the published value (or the public dataset, where applicable) and compares against the DCT closed-form prediction.
Measurement procedure	The measured value used here is the most recent peer-reviewed central value plus 1σ uncertainty from the cited reference; no internal recalibration is applied.
Acceptance threshold	HIT: residual within 1σ of measurement. SOFT: directional agreement, residual within bracketing range. OPEN: untested or unresolved.
Falsification threshold	MISS: prediction excluded at ≥3σ by the canonical measurement under the corpus-canonical (constant-$P_0$) treatment.
Current status	See the verdict pill in the prediction table above.

Cross-references

Related observables in the same domain: master-identity.

Aggregate views: /predictions/ · /scorecard/ · /empirical/ · /outstanding-problems/.

Audit notes

Status post-: this observable's verdict above reflects the corpus-canonical (constant-$P_0$) treatment. Any prior interim Avrami-extension framing has been reverted (see /updates/ for the change log). The cluster-paper deep-link above (DCT-FND-V2) is the canonical source of the derivation chain.

References

Planck 2018 X
Source paper: DCT-CMB-01

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